A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients

doi:10.1016/j.amc.2015.05.048

	A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients
	Huang, Jizu1,2 ; Cao, Liqun1 ; Yang, Chao 3
	2015-09-01
发表期刊	APPLIED MATHEMATICS AND COMPUTATION
ISSN	0096-3003
卷号	266 页码:149-168
摘要	This paper, as a continued work of Huang and Cao (2014), discusses the multiscale computation of the radiative heat transfer in composite materials or porous media. A novel multiscale asymptotic expansion is presented, and an explicit rate of convergence is derived. We develop a multiscale algorithm for solving this kind of problem. A fully implicit scheme is carefully studied and an iterative algorithm is given. The convergence of the iterative algorithm is proved by the fixed point method. Numerical results confirm the efficiency and accuracy of this approach and show that the novel multiscale asymptotic expansion is essential for the radiative-dominated cases. (C) 2015 Elsevier Inc. All rights reserved.
关键词	Radiation heat transfer equation Homogenization Multiscale asymptotic expansion Composite materials Porous media
DOI	10.1016/j.amc.2015.05.048
语种	英语
资助项目	National Natural Science Foundation of China[91330202] ; National Natural Science Foundation of China[90916027] ; National Natural Science Foundation of China[61170075] ; National Basic Research Program of China (973 Program)[2010CB832702] ; Funds for Creative Research Group of China[11321061]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000359300100014
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/20570
专题	计算数学与科学工程计算研究所
通讯作者	Cao, Liqun
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Inst Software, Beijing 100190, Peoples R China 3.Chinese Acad Sci, State Key Lab Comp Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Jizu,Cao, Liqun,Yang, Chao. A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients[J]. APPLIED MATHEMATICS AND COMPUTATION,2015,266:149-168.
APA	Huang, Jizu,Cao, Liqun,&Yang, Chao.(2015).A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients.APPLIED MATHEMATICS AND COMPUTATION,266,149-168.
MLA	Huang, Jizu,et al."A multiscale algorithm for radiative heat transfer equation with rapidly oscillating coefficients".APPLIED MATHEMATICS AND COMPUTATION 266(2015):149-168.